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Finding the Fourth Proportional to 322.48, 483.72 and 106

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Solution

The fourth proportional to 322.48, 483.72 and 106 is: 159

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.48 : 483.72 = 106 : x
  2. Step 2: Convert to fraction form
    322.48/483.72 = 106/x
  3. Step 3: Cross multiply
    322.48x = 483.72 × 106
  4. Step 4: Simplify right side
    322.48x = 51,274.32
  5. Step 5: Solve for x
    x = 51,274.32/322.48
  6. Step 6: Final answer
    x = 159

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.